1 citations · 1 across the 5 of their papers we have counts for
6 papers
Piggybacking over unbounded distributive lattices
Leonardo M. Cabrer, Hilary A. Priestley
This paper fills a gap in the literature on natural duality theory. It concerns dual representations of categories of distributive-lattice-based algebras in which the lattice reduc…
Sugihara algebras and monoids: multisorted dualities
L. M. Cabrer, H. A. Priestley
The authors developed in a recent paper natural dualities for finitely generated quasivarieties of Sugihara algebras. They thereby identified the admissibility algebras for these q…
Sugihara Algebras: Admissibility Algebras via the Test Spaces Method
Leonardo Cabrer, Hilary Priestley
This paper studies finitely generated quasivarieties of Sugihara algebras. These quasivarieties provide complete algebraic semantics for certain propositional logics associated wit…
Natural dualities through product representations: bilattices and beyond
Leonardo Cabrer, Hilary Priestley
This paper focuses on natural dualities for varieties of bilattice-based algebras.Such varieties have been widely studied as semantic models in situations where information is inco…
Bohr compactifications of algebras and structures
B. A. Davey, M. Haviar, H. A. Priestley
This paper provides a unifying framework for a range of categorical constructions characterised by universal mapping properties, within the realm of compactifications of discrete s…
A general framework for product representations: bilattices and beyond
L. M. Cabrer, H. A. Priestley
This paper studies algebras arising as algebraic semantics for logics used to model reasoning with incomplete or inconsistent information. In particular we study, in a uniform way,…